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4020411400 = 2352193473049
BaseRepresentation
bin1110111110100010…
…1001110000001000
3101101012010001121221
43233220221300020
531213211131100
61502535211424
7201425635015
oct35750516010
911335101557
104020411400
111783465655
12942516b74
134c0c1a175
142a1d4870c
15187e5801a
hexefa29c08

4020411400 has 96 divisors (see below), whose sum is σ = 9871020000. Its totient is φ = 1518635520.

The previous prime is 4020411389. The next prime is 4020411401. The reversal of 4020411400 is 41140204.

It is not an unprimeable number, because it can be changed into a prime (4020411401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317076 + ... + 1320124.

It is an arithmetic number, because the mean of its divisors is an integer number (102823125).

Almost surely, 24020411400 is an apocalyptic number.

4020411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935510000).

4020411400 is an abundant number, since it is smaller than the sum of its proper divisors (5850608600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020411400 is a wasteful number, since it uses less digits than its factorization.

4020411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4020411400 is about 63406.7141555214. The cubic root of 4020411400 is about 1590.0965620456.

Adding to 4020411400 its reverse (41140204), we get a palindrome (4061551604).

The spelling of 4020411400 in words is "four billion, twenty million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 347 380 475 694 760 950 1388 1735 1900 2776 3049 3470 3800 6098 6593 6940 8675 12196 13186 13880 15245 17350 24392 26372 30490 32965 34700 52744 57931 60980 65930 69400 76225 115862 121960 131860 152450 164825 231724 263720 289655 304900 329650 463448 579310 609800 659300 1058003 1158620 1318600 1448275 2116006 2317240 2896550 4232012 5290015 5793100 8464024 10580030 11586200 20102057 21160060 26450075 40204114 42320120 52900150 80408228 100510285 105800300 160816456 201020570 211600600 402041140 502551425 804082280 1005102850 2010205700 4020411400